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Finding the Fourth Proportional to 205,368.48, 307,870.80 and 80,680.80

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Solution

The fourth proportional to 205,368.48, 307,870.80 and 80,680.80 is: 120,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.48 : 307,870.80 = 80,680.80 : x
  2. Step 2: Convert to fraction form
    205,368.48/307,870.80 = 80,680.80/x
  3. Step 3: Cross multiply
    205,368.48x = 307,870.80 × 80,680.80
  4. Step 4: Simplify right side
    205,368.48x = 24,839,262,440.64
  5. Step 5: Solve for x
    x = 24,839,262,440.64/205,368.48
  6. Step 6: Final answer
    x = 120,949.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.